SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2325-A2343, January 2020.
The inverse acoustic scattering of point objects using multifrequency sparse measurements is studied. The objects may be a sum of point sources or point-like scatterers. We show that the locations and scattering strengths of the point objects can be uniquely identified by the multifrequency near or far fields taken at sparse sensors. Based on the uniqueness analysis, some direct methods have also been proposed for reconstructing the locations and determining the scattering strengths. The numerical examples are conducted to show the validity and robustness of the proposed numerical methods.

中文翻译：

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利用多频稀疏数据识别类似点的物体

SIAM科学计算杂志，第42卷，第4期，第A2325-A2343页，2020年1月
。研究了使用多频稀疏测量的点对象的逆声散射。这些对象可以是点源或点状散射体的总和。我们表明，可以通过稀疏传感器获取的多频近场或远场来唯一标识点对象的位置和散射强度。基于唯一性分析，还提出了一些直接方法来重构位置并确定散射强度。数值算例表明了所提出数值方法的有效性和鲁棒性。